Question

Solve 1= X^2+3x-16/X^2-6x+8
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Answer 1

x=1.816298 or x=−1.162524

Explanation:

Step 1: Multiply both sides by x^2.

x2=x4−3x3+8x2−16

x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)

−x4+3x3−7x2+16=0

(Use quartic formula)

x=−1.162524,1.816298

Check answers. (Plug them in to make sure they work.)

x=1.816298(Works in original equation)

x=−1.162524(Works in original equation)